Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems

We show that a class of nonlinear elliptic systems have the property that all their positive classical solutions are uniformly bounded.

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Bibliographic Details
Published in:Mathematische annalen 2005-10, Vol.333 (2), p.231-260
Main Authors: Figueiredo, Djairo G. de, Sirakov, Boyan
Format: Article
Language:English
Subjects:
Analysis of PDEs
Mathematics
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Description
Summary:We show that a class of nonlinear elliptic systems have the property that all their positive classical solutions are uniformly bounded.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-005-0639-1